Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 2, Pages 209–227 (Mi tvp2522)  

This article is cited in 13 scientific papers (total in 13 papers)

Limit theorems for sums of independent random variables with values in Hilbert space

V. M. Kruglov

Moscow
Abstract: Necessary and sufficient conditions are found for the distributions of sums (in the series scheme) of independent Hilbert space valued variables to converge to an arbitrary fixed distribution.
Received: 12.06.1969
English version:
Theory of Probability and its Applications, 1973, Volume 17, Issue 2, Pages 199–217
DOI: https://doi.org/10.1137/1117026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Kruglov, “Limit theorems for sums of independent random variables with values in Hilbert space”, Teor. Veroyatnost. i Primenen., 17:2 (1972), 209–227; Theory Probab. Appl., 17:2 (1973), 199–217
Citation in format AMSBIB
\Bibitem{Kru72}
\by V.~M.~Kruglov
\paper Limit theorems for sums of independent random variables with values in Hilbert space
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 2
\pages 209--227
\mathnet{http://mi.mathnet.ru/tvp2522}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=298720}
\zmath{https://zbmath.org/?q=an:0268.60011}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 2
\pages 199--217
\crossref{https://doi.org/10.1137/1117026}
Linking options:
  • https://www.mathnet.ru/eng/tvp2522
  • https://www.mathnet.ru/eng/tvp/v17/i2/p209
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025